Solve the equation by factoring.
12x^2 + 12x = 24

Question

Solve the equation by factoring. 
12x^2 + 12x = 24

anonymous · Answer

can't seem to get this one!!! ugh

saifoo.khan · Answer

wanna learn the easy way?

anonymous · Answer

Try factoring out the 12 first.

anonymous · Answer

YUP!

saifoo.khan · Answer

12x^2 + 12x - 24 = 0

factor 12

12(x^2 + x -2) = 0

x^ + x - 2

Can u solve it now?

anonymous · Answer

this is what I have so far 12x^2+12x-24=0
                                     (24x-1) ????

anonymous · Answer

that's where I get lost!

anonymous · Answer

When you get to $x^2 + x -2$, you need to find 2 numbers which will multiply to get $-2$, and which will add to get $+1$ (since +x means +1x). Which two numbers would you use?

anonymous · Answer

3?

anonymous · Answer

You need two numbers. They have to multiply to get $-2$, which means they are factors of -2. Which numbers are they?

anonymous · Answer

2 and 1?

anonymous · Answer

Those are the right numbers, though one of them has to be negative. So it's either $(-2\times +1)$ or $(+2\times -1)$. The two numbers also have to add to get $+1$. Which of these sets will add together to get $+1$?

anonymous · Answer

(+2x-1)?

anonymous · Answer

Exactly. That means that your factors are $(x+2)$, and $(x-1)$

mimi_x3 · Answer

use the quadratic formula its easier